Fermion Representation of Quantum Group

Details Fermion Representation of Quantum Group Fermion Representation of Quantum Group

1996-12-17

arxiv.org/abs/q-alg/9612024v3

Mathematics

Quantum Algebra

LaTex,15Pages

Scientific paper

10.1143/PTP.97.691

The spinor representation of the quantum group $U_q(su(N))$ is given in terms of a set of fermion creation and annihilation operators. It is shown that the $q$-fermion operators introduced earlier can be identifi ed with the conventional fermion operators. Algebra homomorphisms mapping the fermion operators to their t ensor products are discussed. The relation of the coproduct of the quantum group to the above algebra homo morphisms is obtained.

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